In this paper, a new five-dimensional hyperchaotic system is proposed based on the Lü hyperchaotic system. Some of its basic dynamical properties, such as equilibria, Lyapunov exponents, bifurcations and various attractors are investigated. Furthermore, a new secure communication scheme based on generalized function projective synchronization (GFPS) of this hyperchaotic system with an uncertain...

This paper presents a new hyperchaotic system which shows some interesting features, the is 4-dimensional with 4 nonlinearities. An extensive numerical analysis has showed that features and strange behaviors. The includes studying effect of parameters initial conditions. Some important properties parameter set, in hyperchaotic, such as Lyapunov exponents dimension, dissipation symmetry are foun...

In this paper, the synchronization of a new hyperchaotic complex system based on T-S fuzzy model is proposed. First, the considered hyperchaotic system is represented by T-S fuzzy model equivalently. Then, by using the parallel distributed compensation (PDC) method and by applying linear system theory and exact linearization (EL) technique, a fuzzy controller is designed to realize the synchron...

This paper proposes a new four-dimensional continuous autonomous hyperchaotic system, which is constructed based on the Lü system by introducing a nonlinear state feedback controller. Some dynamical properties, including equlibria, stability, Lyapunov exponents spectrum and bifurcation, of this hyperchaotic system are investigated in detail. Moreover, a novel analog circuit is also designed for...

In this paper, we investigate the finite-time synchronization problem of a novel hyperchaotic complex-variable system which generates 2-, 3and 4-scroll attractors. Based on the finite-time stability theory, two control strategies are proposed to realize synchronization of the novel hyperchaotic complex-variable system in finite time. Finally, two numerical examples have been provided to illustr...

In this paper we consider impulsive control of master-slave synchronization schemes that consist of identical Lur’e systems. Impulsive control laws are investigated which make use of linear or nonlinear dynamic measurement feedback. A sufficient condition for global asymptotic stability is presented which is characterized by a set of matrix inequalities. Synchronization is proven for the error ...

In this paper a novel fractional-order hyperchaotic system is proposed. The chaotic properties of the system in phase portraits are analyzed by using linear transfer function approximation of the fractional-order integrator block. Furthermore, synchronization between two fractional-order systems is achieved by utilizing a single-variable feedback method. Simulation results show that our scheme ...

This paper studies simple hyperchaotic circuits consisting of one linear 3-port voltage-controlled current source (ab. VCCS), two linear capacitors and one dependent switched capacitor. The dynamics is described by a normal form equation and a return map can be derived. Using a mapping procedure, it is shown that the circuits exhibit interesting hyperchaotic attractors.